In wireless communications, a communication channel includes channel coefficients such as gain and phase factors as well as noise factors. For the one-tap linear model, we assume that the channel coefficients and the noise signal are given as h and n, respectively. Then, the received signal at the receiver is represented as

r = P h x + n

where x is the transmission signal at the transmitter and P is the transmission power.

Rayleigh Fading ChannelEdit

When a fading model of given wireless channel can be represented as Rayleigh distribution, we model both the complex channel coefficient h and the noise signal n are normalized Gaussian random variable, i.e., distributed with N(0,1).

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